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Finding the Fourth Proportional to 3,498, 5,247.72 and 1,446

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Solution

The fourth proportional to 3,498, 5,247.72 and 1,446 is: 2,169.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,498 : 5,247.72 = 1,446 : x
  2. Step 2: Convert to fraction form
    3,498/5,247.72 = 1,446/x
  3. Step 3: Cross multiply
    3,498x = 5,247.72 × 1,446
  4. Step 4: Simplify right side
    3,498x = 7,588,203.12
  5. Step 5: Solve for x
    x = 7,588,203.12/3,498
  6. Step 6: Final answer
    x = 2,169.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.